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An Unsteady Magnetohydrodynamic Jeffery Nanofluid Flow Over a Shrinking Sheet with Thermal Radiation and Convective Boundary Condition Using Spectral Quasilinearisation Method

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We investigate the combined effects of a magnetic field and a convective boundary condition on unsteady Jeffrey nanofluid flow over a shrinking sheet with thermal radiation and heat generation. The effects of several important factors such as particle size and shape, the clustering of particles and the effective thermal conductivity of nanofluids has not been studied adequately. It is important for more research so as to ascertain the effects of these factors on the thermal conductivity of a wide range of nanofluids. The non-dimensional governing equations are derived and solved using a spectral quasilinearisation method. Among other findings, we show that thermal radiation enhances both the temperature and concentration profiles. Furthermore, the effects of different physical parameters on the flow velocity, temperature and concentration profiles are shown graphically and discussed in detail. Comparison with previously published work shows an excellent agreement.
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Keywords: Convective Heat Transfer; Heat Generation; Jeffrey Nanofluid; MHD; Spectral Quasilinearisation Method; Thermal Radiation

Document Type: Research Article

Affiliations: School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Pietermaritzburg, Private Bag X01 Scottsville 3209, South Africa

Publication date: October 1, 2016

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  • Journal of Computational and Theoretical Nanoscience is an international peer-reviewed journal with a wide-ranging coverage, consolidates research activities in all aspects of computational and theoretical nanoscience into a single reference source. This journal offers scientists and engineers peer-reviewed research papers in all aspects of computational and theoretical nanoscience and nanotechnology in chemistry, physics, materials science, engineering and biology to publish original full papers and timely state-of-the-art reviews and short communications encompassing the fundamental and applied research.
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